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13545345330 = 232511101135467
BaseRepresentation
bin11001001110101110…
…11001000100110010
31021221222221211121200
430213113121010302
5210220102022310
610120031432030
7656444351466
oct144727310462
937858854550
1013545345330
115820aa3480
122760385616
13137b37264a
14926d664a6
155442759c0
hex3275d9132

13545345330 has 96 divisors (see below), whose sum is σ = 38800202688. Its totient is φ = 3251184000.

The previous prime is 13545345329. The next prime is 13545345337. The reversal of 13545345330 is 3354354531.

13545345330 is a `hidden beast` number, since 1 + 3 + 545 + 34 + 53 + 30 = 666.

13545345330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13545345337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32257 + ... + 167723.

It is an arithmetic number, because the mean of its divisors is an integer number (404168778).

Almost surely, 213545345330 is an apocalyptic number.

13545345330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13545345330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400101344).

13545345330 is an abundant number, since it is smaller than the sum of its proper divisors (25254857358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13545345330 is a wasteful number, since it uses less digits than its factorization.

13545345330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135592 (or 135589 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 13545345330 its reverse (3354354531), we get a palindrome (16899699861).

The spelling of 13545345330 in words is "thirteen billion, five hundred forty-five million, three hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 101 110 165 198 202 303 330 495 505 606 909 990 1010 1111 1515 1818 2222 3030 3333 4545 5555 6666 9090 9999 11110 16665 19998 33330 49995 99990 135467 270934 406401 677335 812802 1219203 1354670 1490137 2032005 2438406 2980274 4064010 4470411 6096015 7450685 8940822 12192030 13411233 13682167 14901370 22352055 26822466 27364334 41046501 44704110 67056165 68410835 82093002 123139503 134112330 136821670 150503837 205232505 246279006 301007674 410465010 451511511 615697515 752519185 903023022 1231395030 1354534533 1505038370 2257557555 2709069066 4515115110 6772672665 13545345330